101303120100 has 288 divisors, whose sum is σ = 361761734656. Its totient is φ = 21313497600.

The previous prime is 101303120069. The next prime is 101303120119. The reversal of 101303120100 is 1021303101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10014045 + ... + 10024155.

Almost surely, 2^101303120100 is an apocalyptic number.

101303120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101303120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180880867328).

101303120100 is an abundant number, since it is smaller than the sum of its proper divisors (260458614556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101303120100 is a wasteful number, since it uses less digits than its factorization.

101303120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101303120100 its reverse (1021303101), we get a palindrome (102324423201).

The spelling of 101303120100 in words is "one hundred one billion, three hundred three million, one hundred twenty thousand, one hundred".